92 Mr. Ivory on the figure requisite to maintain the equilibrium 
«.(/+!) ..c (i) + 
or 
and from this equation the value of C 9 is deduced, viz. 
x 4. &c .| . 
• Z / 2*2? 1 1 j 
1.2.3 
In the same place another more general differential equa- 
tion is found, of which the former is only a particular case, 
viz. 
i+i<|" + 1 
(i — n). {i + n + 1) . ( 1 — 7 *)» ■ d ^ ] + 
\ dy n + l S 
dy ni dy 
For the sake of abridging I shall now put 
d n 
<P 
' W = (!-*■)*• 
C?y' 
and, consequently, 
<P 
J 0 
a v 
then, if in the foregoing formula, we make n successively 
equal to o, 1, 2, 3 . . . i, we shall get this series of equations. 
